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Finding the Fourth Proportional to 518.78, 778.31 and 194.24

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Solution

The fourth proportional to 518.78, 778.31 and 194.24 is: 291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.78 : 778.31 = 194.24 : x
  2. Step 2: Convert to fraction form
    518.78/778.31 = 194.24/x
  3. Step 3: Cross multiply
    518.78x = 778.31 × 194.24
  4. Step 4: Simplify right side
    518.78x = 151,178.93
  5. Step 5: Solve for x
    x = 151,178.93/518.78
  6. Step 6: Final answer
    x = 291.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.